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Foil 19 Solution of Homogenous Equations by Fourier Analysis

From Introduction to Physics and Numerics of NAS Benchmarks CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
If the Velocity v in convection equation is constant and
we have the natural boundary conditions for e
then Fourier Analysis diagonalizes difference equations
Note that general equation:

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